Comparing 2 ratios and combining it into a unit rate.

Question

A company makes three sizes of shirts: small, medium, and large. The ratio of small shirts to medium shirts is 2:3. The ratio of medium shirts to large shirts is 3:5. The company makes s small shirts every minute. What is an expression in terms of s to represent the number of large shirts the company makes every minute?

Answer 1

There are several ways to work out this proportion problem; here is one way.

 

S/2 = M/3 and M/3 = L/5 => S/2 = L/5 => L = 5S/2